On pairwise fuzzy Baire dense sets

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DOI:

https://doi.org/10.26637/MJM0804/0125

Abstract

In this paper, the concept of pairwise fuzzy Baire dense sets in fuzzy bitopological spaces is introduced by means of pairwise fuzzy first category sets. Several characterizations of pairwise fuzzy Baire dense sets are established. The conditions for fuzzy bitopological spaces to become pairwise fuzzy Baire spaces, pairwise fuzzy second category spaces and pairwise fuzzy resolvable space, are obtained.

Keywords:

Pair wise fuzzy dense set, pairwise fuzzy first category set, pairwise fuzzy P-space, pairwise fuzzy Baire space, pairwise fuzzy resolvable space, pairwise fuzzy \(G_\delta\)-set , pairwise fuzzy \(F_\sigma\)-set

Mathematics Subject Classification:

Mathematics
  • G. Thangaraj Department of Mathematics, Thiruvalluvar University Vellore-632115, Tamil Nadu, India.
  • E. Roseline Gladis Department of Mathematics, Voorhees College Vellore-632001, Tamil Nadu, India.
  • Pages: 2063-2070
  • Date Published: 01-10-2020
  • Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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Published

01-10-2020

How to Cite

G. Thangaraj, and E. Roseline Gladis. “On Pairwise Fuzzy Baire Dense Sets”. Malaya Journal of Matematik, vol. 8, no. 04, Oct. 2020, pp. 2063-70, doi:10.26637/MJM0804/0125.